N. Biancacci

1. CERN PS impedance localization update N. Biancacci Transverse impedance localization method Application to the PS Conclusion and Outlook MSWG 15-03-2013

2. Acknowledgement PS operators, G.Arduini, R.Calaga, H. Damerau, R. De Maria, S.Gilardoni, M.Giovannozzi, C.Hernalsteens, M.Migliorati, E.Métral, N.Mounet, G.Rumolo, B.Salvant, G.Sterbini, S.Persichelli, R.Wasef

3. Transverse Impedance Localization Method The method for local measurements was proposed and applied by G. Arduini et al. in 2004 and 2009 in SPS [1,2] and benchmarked with HEADTAIL. Local measurements: variation of phase advance between BPMs with intensity. Global measurements:variation of tune frequency with intensity. ) [1] "Localizing impedance sources from betatron-phase beating in the CERN SPS", G. Arduini, C. Carli , F. Zimmermann EPAC'04. [2] “Transverse Impedance Localization Using dependent Optics” R.Calagaet al., PAC’09.

4. Transverse Impedance Localization Method The aim of the measurement is: correlating the phase advance beating variation with intensity with a local source of impedance. In “optical” terms, an impedance would behave as a (de)focusing intensity dependent quadrupole.

5. Impedance Budget Flowchart RECONSTRUCTION Theory Impedance budget Measurements Estimations Global impedance Local impedance Measurement accuracy Machine

6. Impedance Budget Flowchart RECONSTRUCTION Theory Impedance budget Measurements Estimations Global impedance Local impedance Measurement accuracy Machine

7. Impedance budget A PS impedance database is being constructed @ 2 GeV. Rewall+SC Kickers SC dipolar S.Persichelli quadrupolar Mounet-Métral code

8. Global PS impedance estimations +SC • We estimated a partial impedance budget at injection: • Resistive wall + Indirect space charge; • Kickers (Tsutsui) • Cavities 80MHz (negligible) Ver. plane: 4.5 MOhm/m. Hor.plane= 2.8 MOhm/m.

9. Local PS impedance estimations Case M=100, X=[1e11->1e12] The impedance-induced beating can be calculated and compared with the accuracy expected or required from measurement: N= N= N= Impedance-induced beating amplitude from theory (Sacherer)

10. Impedance Budget Flowchart RECONSTRUCTION Theory Impedance budget Measurements Estimations Global impedance Local impedance Measurement accuracy Machine

11. Machine The uncertainty chain: A FFT Noise Signal Ratio BPM system Phase advance accuracy Phase advance slope accuracy

12. Accuracy of phase advance measurements Given a set of M measurements of with equal error bars , obtained along an intensity scan X, we can calculate using standard straight line least squares: To be reduced(noise level, kicker strength, BPMs gain, BPM transfer function) To be increased: M= number of measurements. Usually a 100 points it’s the case. To be increased: It is the width of the scan of intensity. Upper threshold can be TMCI. Lower is BPM sensitivity. To be increased: N=Number of turns. Depends on ability on hardware and data trasmissionfrom BPM to storage. This quantity has to be compared with the impedance-induced phase beating amplitude!

13. Local PS impedance estimations MD on 05-02-2013_#2 The impedance-induced beating appears to be small with respect to the measurement accuracy usually achieved (NSR~5%) during MDs. Only big impedance source are expected to be localized.

14. Impedance Budget Flowchart RECONSTRUCTION Theory Impedance budget Measurements Estimations Global impedance Local impedance Measurement accuracy Machine

15. Measurements • The measurement were done with single bunch at injection energy 2GeV, with a TOF beam. • Intensity scan is usually from ~1e11 to ~1e12 ppb. • TFB was used as vertical kicker. • The smallest bunch length is 90ns (4) with 200kV on 10MHz cavities. H.Damerau, S.Persichelli

16. Measurements PS-05-02-2013_#2 Bunch length~90ns (rf@200kV)Ztot~6.5 MOhm/m (from tune shift) PS-05-02-2013_#3Bunch length~107ns (rf@100kV) Ztot~6.3 MOhm/m (from tune shift)

17. RECONSTRUCTION Theory Impedance budget Measurements Estimations Global impedance Local impedance Measurement accuracy Machine

18. Reconstruction Before reconstruction: • For the moment we chose the reconstruction points as everything in the machine except monitors, vacuum port and magnets. So: • Cavities; • Kickers; • Wirescanners; • TFB; • Septa; • Wall current; • Response matrix size: 49 reconstructors x 40 BPMs. After reconstruction: • Check how the measured and reconstructed slope overlap; • Do stress-test to check the stability of the solution: Keep corrector sequence Y Choose shorter sequences Switch off corrector residual norm increase > 30%? N

19. Measurements PS-05-02-2013_#2 Bunch length~90ns (rf@200kV)Ztot~6.5 MOhm/m (from tune shift) PS-05-02-2013_#3Bunch length~107ns (rf@100kV) Ztot~6.3 MOhm/m (from tune shift)

20. Reconstruction Low bound from accuracy estimation reconstructed Theory

21. Reconstruction After stress-test:

22. PS-05-02-2013_#2 Bunch length~90ns (rf@200kV)Ztot~6.5 MOhm/m (from tune shift)Ztot~6.4 MOhm/m (from recons.) PS-05-02-2013_#3Bunch length~107ns (rf@100kV) Ztot~6.3 MOhm/m (from tune shift) Ztot~5.9 MOhm/m (from recons.)

23. PS-05-02-2013_#2 Bunch length~90ns (rf@200kV)Ztot~6.5 MOhm/m (from tune shift)Ztot~6.4 MOhm/m (from recons.) KFA71 BFA21+KFA21 PS-05-02-2013_#3Bunch length~107ns (rf@100kV) Ztot~6.3 MOhm/m (from tune shift) Ztot~5.9 MOhm/m (from recons.)

24. Conclusion and Outlook Conclusion: • Understood the role of noise in the measurement. • Transverse impedance model is going to be built. • At least 5 good localization measurements collected in 2012/2013 MD time. • Two probable impedance locations localized in KFA71 and BFA21(S+P)+KFA21. Outlook: • Analyze remaining measurements and crosscheck localization results. • Improve stress test on the solution (vary residual norm threshold, etc…) • Crosscheck with simulations, • …

25. Backup

26. Reconstruction points